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A190336 a(n) = n + [n*r/s] + [n*t/s];  r=2, s=sqrt(2), t=1/s. 3
2, 5, 8, 11, 14, 17, 19, 23, 25, 29, 31, 34, 37, 40, 43, 46, 49, 52, 54, 58, 60, 64, 66, 69, 72, 75, 78, 81, 84, 87, 89, 93, 95, 99, 101, 104, 107, 110, 113, 116, 118, 122, 124, 128, 130, 134, 136, 139, 142, 145, 148, 151, 153, 157, 159, 163, 165, 169, 171, 174, 177, 180, 183, 186, 188, 192, 194, 198, 200, 203, 206, 209, 212, 215 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A190335.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

A190335:  f(n) = n + [n*sqrt(2)] + [n/sqrt(8)].

A190336:  g(n) = n + [n/sqrt(2)] + [n/2].

A190337:  h(n) = 3*n + [n*sqrt(8)].

MATHEMATICA

r=2; s=2^(1/2); t=1/s;

f[n_] := n + Floor[n*s/r] + Floor[n*t/r];

g[n_] := n + Floor[n*r/s] + Floor[n*t/s];

h[n_] := n + Floor[n*r/t] + Floor[n*s/t];

Table[f[n], {n, 1, 120}]  (*A190335*)

Table[g[n], {n, 1, 120}]  (*A190336*)

Table[h[n], {n, 1, 120}]  (*A190337*)

PROG

(PARI) for(n=1, 100, print1(n + floor(n/sqrt(2)) + floor(n/2), ", ")) \\ G. C. Greubel, Apr 04 2018

(MAGMA) R:=RealField(); [n + Floor(n/Sqrt(2)) + Floor(n/2): n in [1..100]]; // G. C. Greubel, Apr 04 2018

CROSSREFS

Cf. A190335, A190337.

Sequence in context: A276385 A109232 A064718 * A276889 A276877 A078608

Adjacent sequences:  A190333 A190334 A190335 * A190337 A190338 A190339

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 08 2011

STATUS

approved

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Last modified August 23 12:00 EDT 2019. Contains 326222 sequences. (Running on oeis4.)